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• # Artykuł - szczegóły

## Annales Polonici Mathematici

2009 | 95 | 3 | 227-242

## On the real analyticity of the scattering operator for the Hartree equation

EN

### Abstrakty

EN
We study the real analyticity of the scattering operator for the Hartree equation $i∂_tu = -Δu + u(V*|u|²)$. To this end, we exploit interior and exterior cut-off in time and space, together with a compactness argument to overcome difficulties which arise from absence of good properties as for the Klein-Gordon equation, such as the finite speed of propagation and ideal time decay estimate. Additionally, the method in this paper allows us to simplify the proof of analyticity of the scattering operator for the nonlinear Klein-Gordon equation with cubic nonlinearity.

227-242

wydano
2009

### Twórcy

autor
• Institute of Applied Physics, and Computational Mathematics, P.O. Box 8009, Beijing, China, 100088
autor
• The Graduate School of China Academy, of Engineering Physics, P.O. Box 2101, Beijing, China, 100088
• School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, China, 454000
autor
• The Graduate School of China Academy, of Engineering Physics, P.O. Box 2101, Beijing, China, 100088